Chern classes, Pontrjagin forms and classification of gauge fields

1979 ◽  
Vol 25 (8) ◽  
pp. 230-233 ◽  
Author(s):  
M. Carmeli ◽  
D. H. Wohl
Keyword(s):  
Gauge Fields ◽  
Chern Classes

Invariants and classification of gauge fields

1978 ◽  
Vol 18 (4) ◽  
pp. 1144-1151 ◽  
Author(s):  
J. Anandan ◽  
K. P. Tod
Keyword(s):  
Gauge Fields

Classification of solutions for gauge fields on group manifolds

1987 ◽  
Vol 20 (1) ◽  
pp. 59-67 ◽  
Author(s):  
C Abecasis ◽  
A Foussats ◽  
R Laura ◽  
O Zandron
Keyword(s):  
Gauge Fields ◽  
Classification Of Solutions

On the Topology of Configurations of Gauge Fields and Higgs Fields

2003 ◽  
Vol 18 (12) ◽  
pp. 2059-2065
Author(s):  
R. Chaves
Keyword(s):  
Homotopy Group ◽  
Gauge Theories ◽  
Minimum Energy ◽  
Topological Classification ◽  
Gauge Fields ◽  
Massive String ◽  
Higgs Vacuum ◽  
Vacuum States ◽  
Higgs Fields

Starting with the topological classification of gauge fields on the sphere (Dirac monopoles) and of Higgs vacuum configurations (through the second homotopy group of the space of vacuum states), the features of minimum energy solutions to gauge theories with spontaneous symmetry breaking and in the presence of singularities (monopoles) are deduced. For each theory, this analysis reveals whether a monopole can exist isolated or must be attached to a massive string and how its flux must be distributed.

Classification of gauge fields

1979 ◽  
Vol 20 (2) ◽  
pp. 260-268 ◽  
Author(s):  
J. Anandan
Keyword(s):  
Gauge Fields

scholarly journals THE GAUGING OF TWO-DIMENSIONAL BOSONIC SIGMA MODELS ON WORLD-SHEETS WITH DEFECTS

2013 ◽  
Vol 25 (06) ◽  
pp. 1350010 ◽  
Author(s):  
KRZYSZTOF GAWȨDZKI ◽  
RAFAŁ R. SUSZEK ◽  
KONRAD WALDORF
Keyword(s):  
Sigma Models ◽  
Anomalous Coupling ◽  
Gauge Fields ◽  
Two Dimensional ◽  
World Sheet ◽  
Arbitrary Topology

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess–Zumino terms in the action to the case of world-sheets with defects. A structure that permits a non-anomalous coupling of such sigma models to world-sheet gauge fields of arbitrary topology is analyzed, together with obstructions to its existence, and the classification of its inequivalent choices.

scholarly journals Merging the weak gravity and distance conjectures using BPS extremal black holes

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Naomi Gendler ◽  
Irene Valenzuela
Keyword(s):  
Black Hole ◽  
Gauge Coupling ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Infinite Field ◽  
Type Iib String Theory ◽  
Bps States ◽  
Distance Limit ◽  
Extremal Black Holes

Abstract We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of $$ \mathcal{N} $$ N = 2 compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple gauge and scalar fields. We show that the BPS bound coincides with the black hole extremality bound in these infinite distance limits, and that the charge-to-mass vectors of the BPS states lie on degenerate ellipsoids with only two non-degenerate directions, regardless of the number of moduli or gauge fields. We provide the numerical value of the principal radii of the ellipsoid in terms of the classification of the singularity that is being approached. We use these findings to inform the Swampland Distance Conjecture, which states that a tower of states becomes exponentially light along geodesic trajectories towards infinite field distance. We place general bounds on the mass decay rate λ of this tower in terms of the black hole extremality bound, which in our setup implies $$ \lambda \ge 1/\sqrt{6} $$ λ ≥ 1 / 6 . We expect this framework to persist beyond $$ \mathcal{N} $$ N = 2 as long as a gauge coupling becomes small in the infinite field distance limit.

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